12-2x-3(x+2)=4x+12-x

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Solution for 12-2x-3(x+2)=4x+12-x equation:


Simplifying
12 + -2x + -3(x + 2) = 4x + 12 + -1x

Reorder the terms:
12 + -2x + -3(2 + x) = 4x + 12 + -1x
12 + -2x + (2 * -3 + x * -3) = 4x + 12 + -1x
12 + -2x + (-6 + -3x) = 4x + 12 + -1x

Reorder the terms:
12 + -6 + -2x + -3x = 4x + 12 + -1x

Combine like terms: 12 + -6 = 6
6 + -2x + -3x = 4x + 12 + -1x

Combine like terms: -2x + -3x = -5x
6 + -5x = 4x + 12 + -1x

Reorder the terms:
6 + -5x = 12 + 4x + -1x

Combine like terms: 4x + -1x = 3x
6 + -5x = 12 + 3x

Solving
6 + -5x = 12 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
6 + -5x + -3x = 12 + 3x + -3x

Combine like terms: -5x + -3x = -8x
6 + -8x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -8x = 12 + 0
6 + -8x = 12

Add '-6' to each side of the equation.
6 + -6 + -8x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 12 + -6
-8x = 12 + -6

Combine like terms: 12 + -6 = 6
-8x = 6

Divide each side by '-8'.
x = -0.75

Simplifying
x = -0.75

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